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1 year ago

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Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any

additional deposits or withdrawals. How long will it take for Sami to earn $2,100 in interest on this account?

1 answer:

LiRa [457]1 year ago

4 0

Answer: 15 months

Step-by-step explanation:

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A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

<u>(</u><u>i</u><u>)</u><u> </u><u>We</u><u> </u><u>will</u><u> </u><u>use</u><u> </u><u>here</u><u> </u><u>geometric</u><u> </u><u>progression</u><u> </u><u>formula</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>height</u><u> </u><u>an</u><u> </u><u>times</u>

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) <u>here</u><u> </u><u>we</u><u> </u><u>will</u><u> </u><u>use</u><u> </u><u>the</u><u> </u><u>sum</u><u> </u><u>formula</u><u> </u><u>of</u><u> </u><u>geometric</u><u> </u><u>progression</u><u> </u><u>for</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>nth</u><u> </u><u>impact</u>

<u> $\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$ </u>

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1 year ago

What process do you use to find the percent change of a quantity?

Sever21 [200]

<span><u><em>First, we need to get the amount of change:</em></u>
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change = </span> $\frac{"new"value - "old"value}{"old" value}$
<span>
If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease

<u><em>Then, we need to convert this amount into a percentage:</em></u>
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100

<u><em>Combining the two steps:</em></u>
% of change = </span> $\frac{"new"value - "old"value}{"old" value}$ <span> * 100

<u>Examples:</u>
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = </span> $\frac{12-10}{10} * 100$ <span> = 20%
This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = </span> $\frac{20-25}{25} * 100$ <span> = -20%
This means that the temperature decreased by 20%

Hope this helps :)</span>

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A baker has determined that four every<br> 4 pounds of flour, she can make 6<br> loaves of bread.

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3 years ago

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H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?

likoan [24]

First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2

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